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2020 – today
- 2024
[j64]Ilham Asmouh
, Alexander Ostermann:
Highly efficient NURBS-based isogeometric analysis for coupled nonlinear diffusion-reaction equations with and without advection. J. Comput. Sci. 83: 102434 (2024)- [j63]Lun Ji, Alexander Ostermann, Frédéric Rousset, Katharina Schratz:
Low Regularity Full Error Estimates for the Cubic Nonlinear Schrödinger Equation. SIAM J. Numer. Anal. 62(5): 2071-2086 (2024) - [j62]Marco Caliari, Fabio Cassini, Lukas Einkemmer, Alexander Ostermann:
Accelerating Exponential Integrators to Efficiently Solve Semilinear Advection-Diffusion-Reaction Equations. SIAM J. Sci. Comput. 46(2): 906- (2024) - [i27]Lun Ji, Hang Li, Alexander Ostermann, Chunmei Su:
Filtered Lie-Trotter splitting for the "good" Boussinesq equation: low regularity error estimates. CoRR abs/2402.11266 (2024) - [i26]Alexander Ostermann, Nasrin Vaisi:
The exponential trapezoidal method for semilinear integro-differential equations. CoRR abs/2403.05900 (2024) - [i25]Ilham Asmouh, Alexander Ostermann:
Highly efficient NURBS-based isogeometric analysis for coupled nonlinear diffusion-reaction equations with and without advection. CoRR abs/2404.04017 (2024) - 2023
- [j61]Lukas Einkemmer, Alexander Ostermann, Carmela Scalone:
A robust and conservative dynamical low-rank algorithm. J. Comput. Phys. 484: 112060 (2023) - [j60]Alexander Ostermann, Fardin Saedpanah, Nasrin Vaisi:
Explicit Exponential Runge-Kutta Methods for Semilinear Integro-Differential Equations. SIAM J. Numer. Anal. 61(3): 1405-1425 (2023) - [i24]Lun Ji, Alexander Ostermann, Frédéric Rousset, Katharina Schratz:
Low regularity error estimates for the time integration of 2D NLS. CoRR abs/2301.10639 (2023) - [i23]Marco Caliari, Fabio Cassini, Lukas Einkemmer, Alexander Ostermann:
Accelerating exponential integrators to efficiently solve advection-diffusion-reaction equations. CoRR abs/2303.15861 (2023) - [i22]Lun Ji, Alexander Ostermann, Frédéric Rousset, Katharina Schratz:
Low regularity full error estimates for the cubic nonlinear Schrödinger equation. CoRR abs/2311.14366 (2023) - [i21]Lun Ji, Alexander Ostermann:
Low regularity error estimates for high dimensional nonlinear Schrödinger equations. CoRR abs/2312.11071 (2023) - 2022
- [j59]Marco Caliari, Fabio Cassini, Lukas Einkemmer, Alexander Ostermann, Franco Zivcovich:
A μ-mode integrator for solving evolution equations in Kronecker form. J. Comput. Phys. 455: 110989 (2022) - [j58]Alexander Ostermann, Fangyan Yao:
A Fully Discrete Low-Regularity Integrator for the Nonlinear Schrödinger Equation. J. Sci. Comput. 91(1): 9 (2022) - [j57]Duy Phan, Alexander Ostermann:
Exponential Integrators for Second-Order in Time Partial Differential Equations. J. Sci. Comput. 93(2): 58 (2022) - [j56]Alexander Ostermann, Frédéric Rousset, Katharina Schratz:
Error estimates at low regularity of splitting schemes for NLS. Math. Comput. 91(333): 169-182 (2022) - [j55]Lukas Einkemmer, Alexander Ostermann, Mirko Residori:
A pseudo-spectral Strang splitting method for linear dispersive problems with transparent boundary conditions. Numerische Mathematik 150(1): 105-135 (2022) - [i20]Alexander Ostermann, Fardin Saedpanah, Nasrin Vaisi:
Explicit exponential Runge-Kutta methods for semilinear integro-differential equations. CoRR abs/2206.05849 (2022) - [i19]Lukas Einkemmer, Alexander Ostermann, Carmela Scalone:
A robust and conservative dynamical low-rank algorithm. CoRR abs/2206.09374 (2022) - 2021
- [j54]Huan-Yan Jian, Ting-Zhu Huang, Alexander Ostermann, Xian-Ming Gu, Yong-Liang Zhao:
Fast numerical schemes for nonlinear space-fractional multidelay reaction-diffusion equations by implicit integration factor methods. Appl. Math. Comput. 408: 126360 (2021) - [j53]Lukas Einkemmer, Alexander Ostermann, Mirko Residori:
An exponential integrator/WENO discretization for sonic-boom simulation on modern computer hardware. Comput. Phys. Commun. 269: 108133 (2021) - [j52]Alexander Ostermann, Frédéric Rousset, Katharina Schratz:
Error estimates of a Fourier integrator for the cubic Schrödinger equation at low regularity. Found. Comput. Math. 21(3): 725-765 (2021) - [j51]Lukas Einkemmer, Alexander Ostermann, Mirko Residori:
A pseudo-spectral splitting method for linear dispersive problems with transparent boundary conditions. J. Comput. Appl. Math. 385: 113240 (2021) - [j50]Marco Caliari, Lukas Einkemmer, Alexander Moriggl, Alexander Ostermann:
An accurate and time-parallel rational exponential integrator for hyperbolic and oscillatory PDEs. J. Comput. Phys. 437: 110289 (2021) - [j49]Yong-Liang Zhao, Alexander Ostermann, Xian-Ming Gu:
A low-rank Lie-Trotter splitting approach for nonlinear fractional complex Ginzburg-Landau equations. J. Comput. Phys. 446: 110652 (2021) - [j48]Yong-Liang Zhao, Xian-Ming Gu, Alexander Ostermann:
A Preconditioning Technique for an All-at-once System from Volterra Subdiffusion Equations with Graded Time Steps. J. Sci. Comput. 88(1): 11 (2021) - [j47]Huan-Yan Jian, Ting-Zhu Huang, Alexander Ostermann, Xian-Ming Gu, Yong-Liang Zhao:
Fast IIF-WENO Method on Non-uniform Meshes for Nonlinear Space-Fractional Convection-Diffusion-Reaction Equations. J. Sci. Comput. 89(1): 13 (2021) - [i18]Marco Caliari, Fabio Cassini, Lukas Einkemmer, Alexander Ostermann, Franco Zivcovich:
A μ-mode integrator for solving evolution equations in Kronecker form. CoRR abs/2103.01691 (2021) - [i17]Lukas Einkemmer, Alexander Ostermann, Mirko Residori:
An exponential integrator/WENO discretization for sonic-boom simulation on modern computer hardware. CoRR abs/2103.06080 (2021) - [i16]Alexander Ostermann, Fangyan Yao:
A fully discrete low-regularity integrator for the nonlinear Schrödinger equation. CoRR abs/2108.04794 (2021) - [i15]Alexander Ostermann, Fangyan Yao, Yifei Wu:
A second order low-regularity integrator for the nonlinear Schrödinger equation. CoRR abs/2109.01189 (2021) - [i14]Alexander Ostermann, Duy Phan:
Exponential integrators for second-order in time partial differential equations. CoRR abs/2111.14705 (2021) - 2020
- [j46]Lukas Einkemmer, Alexander Ostermann, Chiara Piazzola:
A low-rank projector-splitting integrator for the Vlasov-Maxwell equations with divergence correction. J. Comput. Phys. 403 (2020) - [j45]Marlis Hochbruck, Jan Leibold, Alexander Ostermann:
On the convergence of Lawson methods for semilinear stiff problems. Numerische Mathematik 145(3): 553-580 (2020) - [i13]Lukas Einkemmer, Alexander Ostermann, Mirko Residori:
A pseudo-spectral Strang splitting method for linear dispersive problems with transparent boundary conditions. CoRR abs/2006.05170 (2020) - [i12]Alexander Ostermann, Frédéric Rousset, Katharina Schratz:
Fourier integrator for periodic NLS: low regularity estimates via discrete Bourgain spaces. CoRR abs/2006.12785 (2020) - [i11]Yong-Liang Zhao, Xian-Ming Gu, Alexander Ostermann:
A parallel preconditioning technique for an all-at-once system from subdiffusion equations with variable time steps. CoRR abs/2007.14636 (2020) - [i10]Marco Caliari, Lukas Einkemmer, Alexander Moriggl, Alexander Ostermann:
An accurate and time-parallel rational exponential integrator for hyperbolic and oscillatory PDEs. CoRR abs/2008.11607 (2020) - [i9]Yong-Liang Zhao, Alexander Ostermann, Xian-Ming Gu:
A low-rank Lie-Trotter splitting approach for nonlinear fractional complex Ginzburg-Landau equations. CoRR abs/2010.05249 (2020) - [i8]Yong-Liang Zhao, Meng Li, Alexander Ostermann, Xian-Ming Gu:
An efficient second-order energy stable BDF scheme for the space fractional Cahn-Hilliard equation. CoRR abs/2011.02106 (2020) - [i7]Alexander Ostermann, Frédéric Rousset, Katharina Schratz:
Error estimates at low regularity of splitting schemes for NLS. CoRR abs/2012.14146 (2020)
2010 – 2019
- 2019
- [j44]Alexander Ostermann, Chunmei Su:
Two exponential-type integrators for the "good" Boussinesq equation. Numerische Mathematik 143(3): 683-712 (2019) - [j43]Alexander Ostermann, Chiara Piazzola, Hanna Walach:
Convergence of a Low-Rank Lie-Trotter Splitting for Stiff Matrix Differential Equations. SIAM J. Numer. Anal. 57(4): 1947-1966 (2019) - [j42]Marvin Knöller, Alexander Ostermann, Katharina Schratz:
A Fourier Integrator for the Cubic Nonlinear Schrödinger Equation with Rough Initial Data. SIAM J. Numer. Anal. 57(4): 1967-1986 (2019) - 2018
- [b2]Michael Oberguggenberger, Alexander Ostermann:
Analysis for Computer Scientists - Foundations, Methods, and Algorithms, Second Edition. Undergraduate Topics in Computer Science, Springer 2018, ISBN 978-3-319-91154-0, pp. 1-329 - [j41]Lukas Einkemmer, Martina Moccaldi, Alexander Ostermann:
Efficient boundary corrected Strang splitting. Appl. Math. Comput. 332: 76-89 (2018) - [j40]Lukas Einkemmer, Alexander Ostermann:
A split step Fourier/discontinuous Galerkin scheme for the Kadomtsev-Petviashvili equation. Appl. Math. Comput. 334: 311-325 (2018) - [j39]N. Auer, Lukas Einkemmer, Peter Kandolf, Alexander Ostermann:
Magnus integrators on multicore CPUs and GPUs. Comput. Phys. Commun. 228: 115-122 (2018) - [j38]Alexander Ostermann, Katharina Schratz:
Low Regularity Exponential-Type Integrators for Semilinear Schrödinger Equations. Found. Comput. Math. 18(3): 731-755 (2018) - [j37]Hermann Mena, Alexander Ostermann, Lena-Maria Pfurtscheller, Chiara Piazzola:
Numerical low-rank approximation of matrix differential equations. J. Comput. Appl. Math. 340: 602-614 (2018) - 2017
- [j36]Robert Altmann, Alexander Ostermann:
Splitting methods for constrained diffusion-reaction systems. Comput. Math. Appl. 74(5): 962-976 (2017) - [j35]Marco Caliari, Alexander Ostermann, Chiara Piazzola:
A splitting approach for the magnetic Schrödinger equation. J. Comput. Appl. Math. 316: 74-85 (2017) - [i6]N. Auer, Lukas Einkemmer, Peter Kandolf, Alexander Ostermann:
Magnus integrators on multicore CPUs and GPUs. CoRR abs/1709.06483 (2017) - 2016
- [j34]Vu Thai Luan, Alexander Ostermann:
Parallel exponential Rosenbrock methods. Comput. Math. Appl. 71(5): 1137-1150 (2016) - [j33]Eskil Hansen, Alexander Ostermann, Katharina Schratz:
The error structure of the Douglas-Rachford splitting method for stiff linear problems. J. Comput. Appl. Math. 303: 140-145 (2016) - [j32]Martina Prugger, Lukas Einkemmer, Alexander Ostermann:
Evaluation of the partitioned global address space (PGAS) model for an inviscid Euler solver. Parallel Comput. 60: 22-40 (2016) - [j31]Marco Caliari, Peter Kandolf, Alexander Ostermann, Stefan Rainer:
The Leja Method Revisited: Backward Error Analysis for the Matrix Exponential. SIAM J. Sci. Comput. 38(3) (2016) - [j30]Lukas Einkemmer, Alexander Ostermann:
Overcoming Order Reduction in Diffusion-Reaction Splitting. Part 2: Oblique Boundary Conditions. SIAM J. Sci. Comput. 38(6) (2016) - [i5]Martina Prugger, Lukas Einkemmer, Alexander Ostermann:
Evaluation of the Partitioned Global Address Space (PGAS) model for an inviscid Euler solver. CoRR abs/1601.03623 (2016) - 2015
- [j29]Lukas Einkemmer, Alexander Ostermann:
On the error propagation of semi-Lagrange and Fourier methods for advection problems. Comput. Math. Appl. 69(3): 170-179 (2015) - [j28]Lukas Einkemmer, Alexander Ostermann:
A splitting approach for the Kadomtsev-Petviashvili equation. J. Comput. Phys. 299: 716-730 (2015) - [j27]Lukas Einkemmer, Alexander Ostermann:
Overcoming Order Reduction in Diffusion-Reaction Splitting. Part 1: Dirichlet Boundary Conditions. SIAM J. Sci. Comput. 37(3) (2015) - [i4]Gregor Ehrensperger, Alexander Ostermann, Felix Schwitzer:
Fast algorithms for morphological operations using run-length encoded binary images. CoRR abs/1504.01052 (2015) - 2014
- [j26]Lukas Einkemmer, Alexander Ostermann:
An almost symmetric Strang splitting scheme for nonlinear evolution equations. Comput. Math. Appl. 67(12): 2144-2157 (2014) - [j25]Vu Thai Luan, Alexander Ostermann:
Exponential Rosenbrock methods of order five - construction, analysis and numerical comparisons. J. Comput. Appl. Math. 255: 417-431 (2014) - [j24]Vu Thai Luan, Alexander Ostermann:
Explicit exponential Runge-Kutta methods of high order for parabolic problems. J. Comput. Appl. Math. 256: 168-179 (2014) - [j23]Vu Thai Luan, Alexander Ostermann:
Reprint of "Explicit exponential Runge-Kutta methods of high order for parabolic problems". J. Comput. Appl. Math. 262: 361-372 (2014) - [j22]Lukas Einkemmer, Alexander Ostermann:
An almost symmetric Strang splitting scheme for the construction of high order composition methods. J. Comput. Appl. Math. 271: 307-318 (2014) - [j21]Antti Koskela, Alexander Ostermann:
A Moment-Matching Arnoldi Iteration for Linear Combinations of φ Functions. SIAM J. Matrix Anal. Appl. 35(4): 1344-1363 (2014) - [j20]Lukas Einkemmer, Alexander Ostermann:
Convergence Analysis of Strang Splitting for Vlasov-Type Equations. SIAM J. Numer. Anal. 52(1): 140-155 (2014) - [j19]Lukas Einkemmer, Alexander Ostermann:
Convergence Analysis of a Discontinuous Galerkin/Strang Splitting Approximation for the Vlasov-Poisson Equations. SIAM J. Numer. Anal. 52(2): 757-778 (2014) - [i3]Lukas Einkemmer, Alexander Ostermann:
On the error propagation of semi-Lagrange and Fourier methods for advection problems. CoRR abs/1406.1933 (2014) - [i2]Lukas Einkemmer, Alexander Ostermann:
A splitting approach for the Kadomtsev-Petviashvili equation. CoRR abs/1407.8154 (2014) - 2013
- [j18]Antti Koskela, Alexander Ostermann:
Exponential Taylor methods: Analysis and implementation. Comput. Math. Appl. 65(3): 487-499 (2013) - [j17]Alexander Ostermann, Katharina Schratz:
Stability of Exponential Operator Splitting Methods for Noncontractive Semigroups. SIAM J. Numer. Anal. 51(1): 191-203 (2013) - [j16]Vu Thai Luan, Alexander Ostermann:
Exponential B-Series: The Stiff Case. SIAM J. Numer. Anal. 51(6): 3431-3445 (2013) - [j15]Marco Caliari, Alexander Ostermann, Stefan Rainer:
Meshfree Exponential Integrators. SIAM J. Sci. Comput. 35(1) (2013) - [c2]Lukas Einkemmer, Alexander Ostermann:
Exponential integrators on graphic processing units. HPCS 2013: 490-496 - [i1]Lukas Einkemmer, Alexander Ostermann:
Exponential Integrators on Graphic Processing Units. CoRR abs/1309.4616 (2013) - 2012
- [c1]Vu Thai Luan, Alexander Ostermann:
Stiff Order Conditions for Exponential Runge-Kutta Methods of Order Five. HPSC 2012: 133-143 - 2011
- [b1]Michael Oberguggenberger, Alexander Ostermann:
Analysis for Computer Scientists - Foundations, Methods, and Algorithms. Undergraduate Topics in Computer Science, Springer 2011, ISBN 978-0-85729-445-6, pp. I-X, 1-341 - 2010
- [j14]Marlis Hochbruck, Alexander Ostermann:
Exponential integrators. Acta Numer. 19: 209-286 (2010)
2000 – 2009
- 2009
- [j13]Marco Caliari, Alexander Ostermann, Stefan Rainer, Mechthild Thalhammer:
A minimisation approach for computing the ground state of Gross-Pitaevskii systems. J. Comput. Phys. 228(2): 349-360 (2009) - [j12]Eskil Hansen, Alexander Ostermann:
Exponential splitting for unbounded operators. Math. Comput. 78(267): 1485-1496 (2009) - 2008
- [j11]Eskil Hansen, Alexander Ostermann:
Dimension splitting for evolution equations. Numerische Mathematik 108(4): 557-570 (2008) - [j10]Eskil Hansen, Alexander Ostermann:
Finite Element Runge-Kutta Discretizations of Porous Medium-Type Equations. SIAM J. Numer. Anal. 46(4): 1769-1779 (2008) - [j9]Marlis Hochbruck, Alexander Ostermann, Julia Schweitzer:
Exponential Rosenbrock-Type Methods. SIAM J. Numer. Anal. 47(1): 786-803 (2008) - 2005
- [j8]Marlis Hochbruck, Alexander Ostermann:
Explicit Exponential Runge-Kutta Methods for Semilinear Parabolic Problems. SIAM J. Numer. Anal. 43(3): 1069-1090 (2005) - 2002
- [j7]Cesáreo González, Alexander Ostermann, Cesar Palencia, Mechthild Thalhammer:
Backward Euler discretization of fully nonlinear parabolic problems. Math. Comput. 71(237): 125-145 (2002) - [j6]Nikolai Bakaev, Alexander Ostermann:
Long-term stability of variable stepsize approximations of semigroups. Math. Comput. 71(240): 1545-1567 (2002) - 2000
- [j5]Alexander Ostermann, Cesar Palencia:
Shadowing for Nonautonomous Parabolic Problems with Applications to Long-Time Error Bounds. SIAM J. Numer. Anal. 37(5): 1399-1419 (2000)
1990 – 1999
- 1998
- [j4]Christian Lubich, Alexander Ostermann:
Hopf bifurcation of reaction-diffusion and Navier-Stokes equations under discretization. Numerische Mathematik 81(1): 53-84 (1998) - 1990
- [j3]Alexander Ostermann:
Continuous extensions of Rosenbrock-type methods. Computing 44(1): 59-68 (1990)
1980 – 1989
- 1986
- [j2]Alexander Ostermann, Peter Kaps, Tien Dai Bui:
The solution of a combustion problem with Rosenbrock methods. ACM Trans. Math. Softw. 12(4): 354-361 (1986)
1970 – 1979
- 1977
- [j1]Alexander Ostermann:
Hermitesche Differenzenverfahren zur Approximation der Lösung von Differentialgleichungen der Formuxy=f(x, y, u, ux, uy). Computing 18(2): 131-139 (1977)
Coauthor Index
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